Galois group search results

Results (displaying both matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
32T316	$D_4.D_4$	$64$	$1$	✓	$3$	$19$	$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_2^2 \wr C_2$ x 4, $Q_{16}:C_2$, $C_2^2\wr C_2$, $D_8:C_2$	32T316, 32T342
32T342	$D_4.D_4$	$64$	$1$	✓	$3$	$19$	$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$, $D_8:C_2$, $Q_{16}:C_2$	32T316 x 2

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Results are complete for degrees $\leq 23$.